Base | Representation |
---|---|
bin | 1000001111101010… |
… | …1101010100110100 |
3 | 12201020112110220200 |
4 | 2003322231110310 |
5 | 14013040032200 |
6 | 1003340400500 |
7 | 105562635405 |
oct | 20372552464 |
9 | 5636473820 |
10 | 2213205300 |
11 | a36329999 |
12 | 519246130 |
13 | 2936a6147 |
14 | 16dd179ac |
15 | ce479800 |
hex | 83ead534 |
2213205300 has 108 divisors (see below), whose sum is σ = 6953640876. Its totient is φ = 588787200.
The previous prime is 2213205277. The next prime is 2213205317. The reversal of 2213205300 is 35023122.
2213205300 is a `hidden beast` number, since 2 + 2 + 132 + 0 + 530 + 0 = 666.
2213205300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 1572516 + 2211632784 = 1254^2 + 47028^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 408610 + ... + 413990.
Almost surely, 22213205300 is an apocalyptic number.
2213205300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2213205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476820438).
2213205300 is an abundant number, since it is smaller than the sum of its proper divisors (4740435576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2213205300 is a wasteful number, since it uses less digits than its factorization.
2213205300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5858 (or 5848 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 2213205300 is about 47044.7159625818. The cubic root of 2213205300 is about 1303.1884849081.
Adding to 2213205300 its reverse (35023122), we get a palindrome (2248228422).
The spelling of 2213205300 in words is "two billion, two hundred thirteen million, two hundred five thousand, three hundred".
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